The I've Sound Explorer DB contradicts the booklet and credits the arranger of スカラベの祈り to Tomoyuki Nakazawa.
https://www.ivesound.jp/music/sa/scarab.php
The booklet (and the DB) does not give a credit for Introduction. Presumably its Kazuya Takase given it leads into Ulysses, but it's not stated. The VGMDb page currently lists Takase but I think it might have been a user input error since he arranged the first listed track in the booklet.